WEIGHTED HARDY AND OPIAL-TYPE INEQUALITIES

被引:53
|
作者
SINNAMON, GJ
机构
[1] Department of Mathematics, University of Western Ontario, London
关键词
D O I
10.1016/0022-247X(91)90316-R
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An integral condition on weights u and v is given which is equivalent to the boundedness of the Hardy operator between the weighted Lebesgue spaces Lup and Lvq with 0 < q < 1 < p < ∞. The Hardy inequalities are applied to give easily verified weight conditions which imply inequalities of Opial type. © 1991.
引用
收藏
页码:434 / 445
页数:12
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